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134263634130 = 23452319736583
BaseRepresentation
bin111110100001010111…
…1000111100011010010
3110211120001201022010000
41331002233013203102
54144432442243010
6141402503350430
712462115026363
oct1750257074322
9424501638100
10134263634130
1151a393595aa
1222030752416
13c879300672
1466d9847b6a
15375c3127c0
hex1f42bc78d2

134263634130 has 160 divisors (see below), whose sum is σ = 378639131904. Its totient is φ = 34072182144.

The previous prime is 134263634111. The next prime is 134263634137. The reversal of 134263634130 is 31436362431.

134263634130 is a `hidden beast` number, since 1 + 3 + 4 + 2 + 6 + 3 + 634 + 13 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (134263634137) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3651819 + ... + 3688401.

Almost surely, 2134263634130 is an apocalyptic number.

134263634130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 134263634130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189319565952).

134263634130 is an abundant number, since it is smaller than the sum of its proper divisors (244375497774).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

134263634130 is a wasteful number, since it uses less digits than its factorization.

134263634130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36822 (or 36813 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

Adding to 134263634130 its reverse (31436362431), we get a palindrome (165699996561).

The spelling of 134263634130 in words is "one hundred thirty-four billion, two hundred sixty-three million, six hundred thirty-four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 23 27 30 45 46 54 69 81 90 115 135 138 162 197 207 230 270 345 394 405 414 591 621 690 810 985 1035 1182 1242 1773 1863 1970 2070 2955 3105 3546 3726 4531 5319 5910 6210 8865 9062 9315 10638 13593 15957 17730 18630 22655 26595 27186 31914 36583 40779 45310 53190 67965 73166 79785 81558 109749 122337 135930 159570 182915 203895 219498 244674 329247 365830 367011 407790 548745 611685 658494 734022 841409 987741 1097490 1223370 1646235 1682818 1835055 1975482 2524227 2963223 3292470 3670110 4207045 4938705 5048454 5926446 7206851 7572681 8414090 9877410 12621135 14413702 14816115 15145362 21620553 22718043 25242270 29632230 36034255 37863405 43241106 45436086 64861659 68154129 72068510 75726810 108102765 113590215 129723318 136308258 165757573 194584977 216205530 227180430 324308295 331515146 340770645 389169954 497272719 583754931 648616590 681541290 828787865 972924885 994545438 1167509862 1491818157 1657575730 1945849770 2486363595 2918774655 2983636314 4475454471 4972727190 5837549310 7459090785 8950908942 13426363413 14918181570 22377272355 26852726826 44754544710 67131817065 134263634130